2016/12/21 by Пэйдэ Лю, Wei Chen, Liu, Peide +1
Mathematics · Social Sciences · #Advanced Harmonic Analysis Research #FOS: Mathematics #Polish Law and Legal System #Polish Legal and Social Issues #Primary 60G46 #Probability (math.PR) #Secondary 60G42
paper · pdf · doi:10.48550/arxiv.1612.07160
openalex publication_date 2016/12/21 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28
We investigate the properties of the variable Lebesgue spaces with quasi-norm on a probability space, and give the atomic decompositions suited to the variable exponent martingale Hardy spaces. Using the decompositions and the harmonic mean of a variable exponent, we obtain several continuous embedding relations between martingale Hardy spaces with small exponent. Finally, we extend these results to the cases 0